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Garau, M, Nieves, MJ and Jones, IS (2019) Alternating Strain Regimes for Failure Propagation in Flexural Systems. The Quarterly Journal of Mechanics and Applied Mathematics, 72 (3). 305 - 339. ISSN 0033-5614
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Abstract
We consider both analytical and numerical studies of a steady-state fracture process inside a discrete mass-beam structure, composed of periodically placed masses connected by Euler–Bernoulli beams. A fault inside the structure is assumed to propagate with a constant speed and this occurs as a result of the action of a remote sinusoidal, mechanical load. The established regime of fracture corresponds to the case of an alternating generalised strain regime. The model is reduced to a Wiener–Hopf equation and its solution is presented. We determine the minimum feeding wave energy required for the steady-state fracture process to occur. In addition, we identify the dynamic features of the structure during the steady-state fracture regime. A transient analysis of this problem is also presented, where the existence of steady-state fracture regimes, revealed by the analytical model, are verified and the associated transient features of this process are discussed.
Item Type: | Article |
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Additional Information: | © The Author, 2019. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oup.com This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model) The final version of this article and any extra information required can be found at; https://academic.oup.com/qjmam/article/72/3/305/5488856 |
Uncontrolled Keywords: | Discrete periodic media, mass-beam structures, fracture, Wiener-Hopf technique, numerical simulations. |
Subjects: | Q Science > QA Mathematics T Technology > T Technology (General) |
Divisions: | Faculty of Natural Sciences > School of Computing and Mathematics |
Depositing User: | Symplectic |
Date Deposited: | 31 Jul 2020 12:30 |
Last Modified: | 25 Mar 2021 12:10 |
URI: | https://eprints.keele.ac.uk/id/eprint/8456 |